Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian
| dc.contributor.author | Yang, Yanbing | |
| dc.contributor.author | Tian, Xueteng | |
| dc.contributor.author | Zhang, Meina | |
| dc.contributor.author | Shen, Jihong | |
| dc.date.accessioned | 2022-02-22T20:43:28Z | |
| dc.date.available | 2022-02-22T20:43:28Z | |
| dc.date.issued | 2018-08-22 | |
| dc.description.abstract | We study an initial boundary value problem for Kirchhoff-type parabolic equation with the fractional p-Laplacian. We first discuss the blow up of solutions in finite time with three initial energy levels: subcritical, critical and supercritical initial energy levels. Then we estimate an upper bound of the blowup time for low and for high initial energies. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yang, Y., Tian, X., Zhang, M., & Shen, J. (2018). Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian. <i>Electronic Journal of Differential Equations, 2018</i>(155), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15404 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Kirchhoff-type problem | |
| dc.subject | Parabolic equations | |
| dc.subject | Fractional p-Laplacian | |
| dc.subject | Blow-up of solutions | |
| dc.subject | Blow-up time | |
| dc.title | Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian | |
| dc.type | Article |